{"id":478216,"date":"2023-08-09T09:29:10","date_gmt":"2023-08-09T09:29:10","guid":{"rendered":""},"modified":"2023-09-05T11:16:18","modified_gmt":"2023-09-05T11:16:18","slug":"non-negative-matrix-factorization-nmf","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/jp\/wiki\/non-negative-matrix-factorization-nmf\/","title":{"rendered":"\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF)"},"content":{"rendered":"<p>\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3 (NMF) \u306f\u3001\u30c7\u30fc\u30bf\u5206\u6790\u3001\u7279\u5fb4\u62bd\u51fa\u3001\u6b21\u5143\u524a\u6e1b\u306b\u4f7f\u7528\u3055\u308c\u308b\u5f37\u529b\u306a\u6570\u5b66\u7684\u624b\u6cd5\u3067\u3059\u3002\u4fe1\u53f7\u51e6\u7406\u3001\u753b\u50cf\u51e6\u7406\u3001\u30c6\u30ad\u30b9\u30c8 \u30de\u30a4\u30cb\u30f3\u30b0\u3001\u30d0\u30a4\u30aa\u30a4\u30f3\u30d5\u30a9\u30de\u30c6\u30a3\u30af\u30b9\u306a\u3069\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5e83\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002NMF \u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u975e\u8ca0\u884c\u5217\u3092 2 \u3064\u4ee5\u4e0a\u306e\u975e\u8ca0\u884c\u5217\u306b\u5206\u89e3\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u884c\u5217\u306f\u3001\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u3068\u4fc2\u6570\u3068\u3057\u3066\u89e3\u91c8\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u56e0\u6570\u5206\u89e3\u306f\u3001\u8ca0\u306e\u5024\u304c\u554f\u984c\u306e\u30b3\u30f3\u30c6\u30ad\u30b9\u30c8\u3067\u610f\u5473\u3092\u306a\u3055\u306a\u3044\u975e\u8ca0\u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3059\u308b\u5834\u5408\u306b\u7279\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<h2>\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3 (NMF) \u306e\u8d77\u6e90\u306e\u6b74\u53f2\u3068\u305d\u308c\u306b\u3064\u3044\u3066\u306e\u6700\u521d\u306e\u8a00\u53ca\u3002<\/h2>\n<p>\u975e\u8ca0\u5024\u884c\u5217\u56e0\u6570\u5206\u89e3\u306e\u8d77\u6e90\u306f 1990 \u5e74\u4ee3\u521d\u982d\u306b\u9061\u308a\u307e\u3059\u3002\u975e\u8ca0\u5024\u30c7\u30fc\u30bf\u884c\u5217\u3092\u56e0\u6570\u5206\u89e3\u3059\u308b\u3068\u3044\u3046\u6982\u5ff5\u306f\u30011994 \u5e74\u306b\u767a\u8868\u3055\u308c\u305f\u8ad6\u6587\u3067\u300c\u6b63\u5024\u884c\u5217\u56e0\u6570\u5206\u89e3\u300d\u306e\u6982\u5ff5\u3092\u7d39\u4ecb\u3057\u305f Paul Paatero \u3068 Unto Tapper \u306e\u7814\u7a76\u306b\u95a2\u4fc2\u3057\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u300c\u975e\u8ca0\u5024\u884c\u5217\u56e0\u6570\u5206\u89e3\u300d\u3068\u3044\u3046\u7528\u8a9e\u3068\u305d\u306e\u5177\u4f53\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u5b9a\u5f0f\u5316\u306f\u3001\u5f8c\u306b\u306a\u3063\u3066\u666e\u53ca\u3057\u307e\u3057\u305f\u3002<\/p>\n<p>1999 \u5e74\u3001\u7814\u7a76\u8005\u306e Daniel D. Lee \u3068 H. Sebastian Seung \u306f\u3001\u300c\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u306b\u3088\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u90e8\u5206\u306e\u5b66\u7fd2\u300d\u3068\u3044\u3046\u30bf\u30a4\u30c8\u30eb\u306e\u72ec\u5275\u7684\u306a\u8ad6\u6587\u3067\u3001NMF \u306e\u7279\u5b9a\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002\u5f7c\u3089\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u975e\u8ca0\u6027\u5236\u7d04\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u304a\u308a\u3001\u30d1\u30fc\u30c4\u30d9\u30fc\u30b9\u306e\u8868\u73fe\u3068\u6b21\u5143\u524a\u6e1b\u3092\u53ef\u80fd\u306b\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u4ee5\u6765\u3001NMF \u306f\u5e83\u7bc4\u56f2\u306b\u7814\u7a76\u3055\u308c\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF) \u306e\u8a73\u7d30\u60c5\u5831<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u306f\u3001\u901a\u5e38\u300cV\u300d\u3067\u8868\u3055\u308c\u308b\u975e\u8ca0\u30c7\u30fc\u30bf\u884c\u5217\u3092 2 \u3064\u306e\u975e\u8ca0\u884c\u5217\u300cW\u300d\u3068\u300cH\u300d\u3067\u8fd1\u4f3c\u3059\u308b\u3068\u3044\u3046\u539f\u7406\u306b\u57fa\u3065\u3044\u3066\u52d5\u4f5c\u3057\u307e\u3059\u3002\u76ee\u6a19\u306f\u3001\u3053\u308c\u3089\u306e\u884c\u5217\u306e\u7a4d\u304c\u5143\u306e\u884c\u5217\u306b\u8fd1\u4f3c\u3059\u308b\u3088\u3046\u306a\u884c\u5217\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>V \u2248 WH<\/p>\n<p>\u3069\u3053\uff1a<\/p>\n<ul>\n<li>V\u306f\u30b5\u30a4\u30bamxn\u306e\u5143\u306e\u30c7\u30fc\u30bf\u884c\u5217\u3067\u3042\u308b\u3002<\/li>\n<li>W\u306f\u30b5\u30a4\u30bamxk\u306e\u57fa\u5e95\u884c\u5217\u3067\u3059\uff08k\u306f\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u307e\u305f\u306f\u6210\u5206\u306e\u5fc5\u8981\u306a\u6570\u3067\u3059\uff09\u3002<\/li>\n<li>H\u306f\u30b5\u30a4\u30bakxn\u306e\u4fc2\u6570\u884c\u5217\u3067\u3042\u308b\u3002<\/li>\n<\/ul>\n<p>\u56e0\u6570\u5206\u89e3\u306f\u4e00\u610f\u3067\u306f\u306a\u304f\u3001\u5fc5\u8981\u306a\u8fd1\u4f3c\u30ec\u30d9\u30eb\u306b\u57fa\u3065\u3044\u3066 W \u3068 H \u306e\u6b21\u5143\u3092\u8abf\u6574\u3067\u304d\u307e\u3059\u3002NMF \u306f\u901a\u5e38\u3001\u52fe\u914d\u964d\u4e0b\u6cd5\u3001\u4ea4\u4e92\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3001\u4e57\u6cd5\u66f4\u65b0\u306a\u3069\u306e\u6700\u9069\u5316\u624b\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3001V \u3068 WH \u9593\u306e\u8aa4\u5dee\u3092\u6700\u5c0f\u9650\u306b\u6291\u3048\u308b\u3053\u3068\u3067\u5b9f\u73fe\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2>\u975e\u8ca0\u5024\u884c\u5217\u56e0\u5b50\u5206\u89e3 (NMF) \u306e\u5185\u90e8\u69cb\u9020\u3002\u975e\u8ca0\u5024\u884c\u5217\u56e0\u5b50\u5206\u89e3 (NMF) \u306e\u4ed5\u7d44\u307f\u3002<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u306f\u3001\u305d\u306e\u5185\u90e8\u69cb\u9020\u3068\u305d\u306e\u52d5\u4f5c\u306e\u57fa\u790e\u3068\u306a\u308b\u539f\u7406\u3092\u5206\u6790\u3059\u308b\u3053\u3068\u3067\u7406\u89e3\u3067\u304d\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u975e\u8ca0\u6027\u5236\u7d04:<\/strong> NMF \u306f\u3001\u57fa\u5e95\u884c\u5217 W \u3068\u4fc2\u6570\u884c\u5217 H \u306e\u4e21\u65b9\u306b\u975e\u8ca0\u6027\u5236\u7d04\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u306e\u5236\u7d04\u306f\u3001\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u3068\u4fc2\u6570\u3092\u52a0\u7b97\u53ef\u80fd\u306b\u3057\u3001\u5b9f\u969b\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u89e3\u91c8\u53ef\u80fd\u306b\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u7279\u5fb4\u62bd\u51fa\u3068\u6b21\u5143\u524a\u6e1b:<\/strong> NMF \u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30c7\u30fc\u30bf\u5185\u3067\u6700\u3082\u95a2\u9023\u6027\u306e\u9ad8\u3044\u7279\u5fb4\u3092\u7279\u5b9a\u3057\u3001\u305d\u308c\u3092\u4f4e\u6b21\u5143\u7a7a\u9593\u3067\u8868\u73fe\u3059\u308b\u3053\u3068\u3067\u7279\u5fb4\u62bd\u51fa\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u6b21\u5143\u6570\u306e\u524a\u6e1b\u306f\u3001\u30c7\u30fc\u30bf\u8868\u73fe\u3092\u7c21\u7d20\u5316\u3057\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u3088\u308a\u89e3\u91c8\u3057\u3084\u3059\u3044\u7d50\u679c\u3092\u3082\u305f\u3089\u3059\u305f\u3081\u3001\u9ad8\u6b21\u5143\u30c7\u30fc\u30bf\u3092\u6271\u3046\u5834\u5408\u306b\u7279\u306b\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u90e8\u54c1\u30d9\u30fc\u30b9\u306e\u8868\u73fe:<\/strong> NMF \u306e\u4e3b\u306a\u5229\u70b9\u306e 1 \u3064\u306f\u3001\u5143\u306e\u30c7\u30fc\u30bf\u306e\u30d1\u30fc\u30c4\u30d9\u30fc\u30b9\u306e\u8868\u73fe\u3092\u63d0\u4f9b\u3067\u304d\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u306f\u3001W \u306e\u5404\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u304c\u30c7\u30fc\u30bf\u5185\u306e\u7279\u5b9a\u306e\u7279\u5fb4\u307e\u305f\u306f\u30d1\u30bf\u30fc\u30f3\u306b\u5bfe\u5fdc\u3057\u3001\u4fc2\u6570\u884c\u5217 H \u304c\u5404\u30c7\u30fc\u30bf \u30b5\u30f3\u30d7\u30eb\u5185\u306e\u3053\u308c\u3089\u306e\u7279\u5fb4\u306e\u5b58\u5728\u3068\u95a2\u9023\u6027\u3092\u793a\u3059\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30c7\u30fc\u30bf\u5727\u7e2e\u3068\u30ce\u30a4\u30ba\u9664\u53bb\u306b\u304a\u3051\u308b\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3:<\/strong> NMF \u306f\u3001\u30c7\u30fc\u30bf\u5727\u7e2e\u3068\u30ce\u30a4\u30ba\u9664\u53bb\u306b\u5fdc\u7528\u3067\u304d\u307e\u3059\u3002\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u306e\u6570\u3092\u6e1b\u3089\u3059\u3053\u3068\u3067\u3001\u5143\u306e\u30c7\u30fc\u30bf\u306e\u6b21\u5143\u3092\u6e1b\u3089\u3057\u306a\u304c\u3089\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u52b9\u7387\u7684\u306b\u4fdd\u5b58\u3057\u3001\u51e6\u7406\u3092\u9ad8\u901f\u5316\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF) \u306e\u4e3b\u8981\u306a\u6a5f\u80fd\u306e\u5206\u6790<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u5206\u89e3\u306e\u4e3b\u306a\u7279\u5fb4\u306f\u6b21\u306e\u3088\u3046\u306b\u8981\u7d04\u3067\u304d\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u975e\u5426\u5b9a\u6027:<\/strong> NMF \u306f\u3001\u57fa\u5e95\u884c\u5217\u3068\u4fc2\u6570\u884c\u5217\u306e\u4e21\u65b9\u306b\u975e\u8ca0\u5236\u7d04\u3092\u9069\u7528\u3059\u308b\u305f\u3081\u3001\u8ca0\u306e\u5024\u304c\u610f\u5473\u306e\u3042\u308b\u89e3\u91c8\u3092\u6301\u305f\u306a\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u90e8\u54c1\u30d9\u30fc\u30b9\u306e\u8868\u73fe:<\/strong> NMF \u306f\u30c7\u30fc\u30bf\u306e\u90e8\u5206\u30d9\u30fc\u30b9\u306e\u8868\u73fe\u3092\u63d0\u4f9b\u3059\u308b\u305f\u3081\u3001\u30c7\u30fc\u30bf\u304b\u3089\u610f\u5473\u306e\u3042\u308b\u7279\u5fb4\u3084\u30d1\u30bf\u30fc\u30f3\u3092\u62bd\u51fa\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6b21\u5143\u524a\u6e1b:<\/strong> NMF \u306f\u6b21\u5143\u524a\u6e1b\u3092\u4fc3\u9032\u3057\u3001\u9ad8\u6b21\u5143\u30c7\u30fc\u30bf\u306e\u52b9\u7387\u7684\u306a\u4fdd\u5b58\u3068\u51e6\u7406\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u89e3\u91c8\u53ef\u80fd\u6027:<\/strong> NMF \u304b\u3089\u5f97\u3089\u308c\u308b\u57fa\u5e95\u30d9\u30af\u30c8\u30eb\u3068\u4fc2\u6570\u306f\u591a\u304f\u306e\u5834\u5408\u89e3\u91c8\u53ef\u80fd\u3067\u3042\u308a\u3001\u57fa\u790e\u3068\u306a\u308b\u30c7\u30fc\u30bf\u306b\u5bfe\u3059\u308b\u6709\u610f\u7fa9\u306a\u6d1e\u5bdf\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5805\u7262\u6027:<\/strong> NMF \u306f\u6b20\u843d\u30c7\u30fc\u30bf\u307e\u305f\u306f\u4e0d\u5b8c\u5168\u306a\u30c7\u30fc\u30bf\u3092\u52b9\u679c\u7684\u306b\u51e6\u7406\u3067\u304d\u308b\u305f\u3081\u3001\u4e0d\u5b8c\u5168\u306a\u73fe\u5b9f\u4e16\u754c\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u67d4\u8edf\u6027:<\/strong> NMF \u306f\u3055\u307e\u3056\u307e\u306a\u6700\u9069\u5316\u624b\u6cd5\u306b\u9069\u5fdc\u3067\u304d\u308b\u305f\u3081\u3001\u7279\u5b9a\u306e\u30c7\u30fc\u30bf\u7279\u6027\u3084\u8981\u4ef6\u306b\u57fa\u3065\u3044\u305f\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF) \u306e\u7a2e\u985e<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u56e0\u5b50\u5206\u89e3\u306b\u306f\u3044\u304f\u3064\u304b\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u3068\u62e1\u5f35\u304c\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u306b\u72ec\u81ea\u306e\u9577\u6240\u3068\u7528\u9014\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u822c\u7684\u306a NMF \u306e\u7a2e\u985e\u306b\u306f\u6b21\u306e\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u53e4\u5178\u7684\u306aNMF:<\/strong> Lee \u3068 Seung \u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u305f NMF \u306e\u30aa\u30ea\u30b8\u30ca\u30eb\u306e\u5b9a\u5f0f\u5316\u3002\u6700\u9069\u5316\u306e\u305f\u3081\u306b\u4e57\u7b97\u66f4\u65b0\u3084\u4ea4\u4e92\u6700\u5c0f\u4e8c\u4e57\u306a\u3069\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30b9\u30d1\u30fc\u30b9NMF:<\/strong> \u3053\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u3067\u306f\u3001\u30b9\u30d1\u30fc\u30b9\u6027\u5236\u7d04\u304c\u5c0e\u5165\u3055\u308c\u3001\u3088\u308a\u89e3\u91c8\u3057\u3084\u3059\u304f\u52b9\u7387\u7684\u306a\u30c7\u30fc\u30bf\u8868\u73fe\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5805\u7262\u306aNMF:<\/strong> \u5805\u7262\u306a NMF \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u30c7\u30fc\u30bf\u5185\u306e\u5916\u308c\u5024\u3084\u30ce\u30a4\u30ba\u3092\u51e6\u7406\u3059\u308b\u3088\u3046\u306b\u8a2d\u8a08\u3055\u308c\u3066\u304a\u308a\u3001\u3088\u308a\u4fe1\u983c\u6027\u306e\u9ad8\u3044\u56e0\u6570\u5206\u89e3\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u968e\u5c64\u578bNMF:<\/strong> \u968e\u5c64\u578b NMF \u3067\u306f\u3001\u8907\u6570\u30ec\u30d9\u30eb\u306e\u56e0\u6570\u5206\u89e3\u304c\u5b9f\u884c\u3055\u308c\u3001\u30c7\u30fc\u30bf\u306e\u968e\u5c64\u7684\u8868\u73fe\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30ab\u30fc\u30cd\u30eb NMF:<\/strong> \u30ab\u30fc\u30cd\u30eb NMF \u306f\u3001NMF \u306e\u6982\u5ff5\u3092\u30ab\u30fc\u30cd\u30eb\u8a98\u5c0e\u306e\u7279\u5fb4\u7a7a\u9593\u306b\u62e1\u5f35\u3057\u3001\u975e\u7dda\u5f62\u30c7\u30fc\u30bf\u306e\u56e0\u6570\u5206\u89e3\u3092\u53ef\u80fd\u306b\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u76e3\u8996\u3055\u308c\u305fNMF:<\/strong> \u3053\u306e\u30d0\u30ea\u30a2\u30f3\u30c8\u306f\u3001\u30af\u30e9\u30b9 \u30e9\u30d9\u30eb\u307e\u305f\u306f\u30bf\u30fc\u30b2\u30c3\u30c8\u60c5\u5831\u3092\u56e0\u6570\u5206\u89e3\u30d7\u30ed\u30bb\u30b9\u306b\u7d44\u307f\u8fbc\u3093\u3067\u304a\u308a\u3001\u5206\u985e\u30bf\u30b9\u30af\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<p>\u4ee5\u4e0b\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u975e\u8ca0\u884c\u5217\u5206\u89e3\u3068\u305d\u306e\u7279\u6027\u3092\u307e\u3068\u3081\u305f\u8868\u3067\u3059\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th>NMF\u306e\u7a2e\u985e<\/th>\n<th>\u7279\u5fb4<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u30af\u30e9\u30b7\u30c3\u30afNMF<\/td>\n<td>\u975e\u8ca0\u6027\u5236\u7d04\u3092\u5099\u3048\u305f\u5143\u306e\u5b9a\u5f0f\u5316<\/td>\n<\/tr>\n<tr>\n<td>\u30b9\u30d1\u30fc\u30b9NMF<\/td>\n<td>\u3088\u308a\u89e3\u91c8\u3057\u3084\u3059\u3044\u7d50\u679c\u3092\u5f97\u308b\u305f\u3081\u306b\u30b9\u30d1\u30fc\u30b9\u6027\u3092\u5c0e\u5165\u3059\u308b<\/td>\n<\/tr>\n<tr>\n<td>\u5805\u7262\u306aNMF<\/td>\n<td>\u5916\u308c\u5024\u3068\u30ce\u30a4\u30ba\u3092\u52b9\u679c\u7684\u306b\u51e6\u7406<\/td>\n<\/tr>\n<tr>\n<td>\u968e\u5c64\u578bNMF<\/td>\n<td>\u30c7\u30fc\u30bf\u306e\u968e\u5c64\u8868\u73fe\u3092\u63d0\u4f9b\u3057\u307e\u3059<\/td>\n<\/tr>\n<tr>\n<td>\u30ab\u30fc\u30cd\u30ebNMF<\/td>\n<td>NMF \u3092\u30ab\u30fc\u30cd\u30eb\u8a98\u5c0e\u306e\u6a5f\u80fd\u7a7a\u9593\u306b\u62e1\u5f35\u3057\u307e\u3059<\/td>\n<\/tr>\n<tr>\n<td>\u76e3\u8996\u3055\u308c\u305fNMF<\/td>\n<td>\u5206\u985e\u30bf\u30b9\u30af\u7528\u306e\u30af\u30e9\u30b9\u30e9\u30d9\u30eb\u3092\u7d44\u307f\u8fbc\u307f\u307e\u3059<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u975e\u8ca0\u5024\u884c\u5217\u56e0\u5b50\u5206\u89e3 (NMF) \u306e\u4f7f\u7528\u65b9\u6cd5\u3001\u4f7f\u7528\u306b\u95a2\u9023\u3059\u308b\u554f\u984c\u3068\u305d\u306e\u89e3\u6c7a\u7b56\u3002<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u5206\u89e3\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30c9\u30e1\u30a4\u30f3\u306b\u308f\u305f\u3063\u3066\u5e45\u5e83\u3044\u7528\u9014\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002 NMF \u306b\u95a2\u9023\u3059\u308b\u4e00\u822c\u7684\u306a\u4f7f\u7528\u4f8b\u3068\u8ab2\u984c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<h3>NMF \u306e\u4f7f\u7528\u4f8b:<\/h3>\n<ol>\n<li>\n<p><strong>\u753b\u50cf\u51e6\u7406\uff1a<\/strong> NMF \u306f\u3001\u753b\u50cf\u51e6\u7406\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306b\u304a\u3051\u308b\u753b\u50cf\u5727\u7e2e\u3001\u30ce\u30a4\u30ba\u9664\u53bb\u3001\u7279\u5fb4\u62bd\u51fa\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30c6\u30ad\u30b9\u30c8\u30de\u30a4\u30cb\u30f3\u30b0:<\/strong> NMF \u306f\u3001\u30c8\u30d4\u30c3\u30af \u30e2\u30c7\u30ea\u30f3\u30b0\u3001\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8 \u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3001\u304a\u3088\u3073\u30c6\u30ad\u30b9\u30c8 \u30c7\u30fc\u30bf\u306e\u30bb\u30f3\u30c1\u30e1\u30f3\u30c8\u5206\u6790\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30d0\u30a4\u30aa\u30a4\u30f3\u30d5\u30a9\u30de\u30c6\u30a3\u30af\u30b9:<\/strong> NMF \u306f\u3001\u907a\u4f1d\u5b50\u767a\u73fe\u89e3\u6790\u3001\u751f\u7269\u5b66\u7684\u30c7\u30fc\u30bf\u306e\u30d1\u30bf\u30fc\u30f3\u8b58\u5225\u3001\u65b0\u85ac\u306e\u767a\u898b\u306a\u3069\u306b\u5229\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30aa\u30fc\u30c7\u30a3\u30aa\u4fe1\u53f7\u51e6\u7406:<\/strong> NMF \u306f\u30bd\u30fc\u30b9\u5206\u96e2\u3068\u97f3\u697d\u5206\u6790\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30ec\u30b3\u30e1\u30f3\u30c7\u30fc\u30b7\u30e7\u30f3\u30b7\u30b9\u30c6\u30e0:<\/strong> NMF \u306f\u3001\u30e6\u30fc\u30b6\u30fc\u3068\u30a2\u30a4\u30c6\u30e0\u306e\u76f8\u4e92\u4f5c\u7528\u306b\u304a\u3051\u308b\u6f5c\u5728\u7684\u306a\u8981\u56e0\u3092\u8b58\u5225\u3059\u308b\u3053\u3068\u3067\u3001\u30d1\u30fc\u30bd\u30ca\u30e9\u30a4\u30ba\u3055\u308c\u305f\u63a8\u5968\u30b7\u30b9\u30c6\u30e0\u3092\u69cb\u7bc9\u3059\u308b\u305f\u3081\u306b\u5229\u7528\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h3>\u8ab2\u984c\u3068\u89e3\u6c7a\u7b56:<\/h3>\n<ol>\n<li>\n<p><strong>\u521d\u671f\u5316:<\/strong> NMF \u306f\u3001W \u3068 H \u306e\u521d\u671f\u5024\u306e\u9078\u629e\u306b\u654f\u611f\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u30e9\u30f3\u30c0\u30e0\u521d\u671f\u5316\u3084\u4ed6\u306e\u6b21\u5143\u524a\u6e1b\u624b\u6cd5\u306e\u4f7f\u7528\u306a\u3069\u306e\u3055\u307e\u3056\u307e\u306a\u521d\u671f\u5316\u6226\u7565\u304c\u3001\u3053\u308c\u306b\u5bfe\u51e6\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u767a\u6563\uff1a<\/strong> NMF \u3067\u4f7f\u7528\u3055\u308c\u308b\u6700\u9069\u5316\u65b9\u6cd5\u306e\u4e2d\u306b\u306f\u3001\u767a\u6563\u306e\u554f\u984c\u304c\u767a\u751f\u3057\u3001\u53ce\u675f\u304c\u9045\u304f\u306a\u3063\u305f\u308a\u3001\u5c40\u6240\u6700\u9069\u5024\u3067\u6b62\u307e\u3063\u305f\u308a\u3059\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u9069\u5207\u306a\u66f4\u65b0\u30eb\u30fc\u30eb\u3068\u6b63\u898f\u5316\u624b\u6cd5\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3053\u306e\u554f\u984c\u3092\u8efd\u6e1b\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u904e\u5b66\u7fd2:<\/strong> \u7279\u5fb4\u62bd\u51fa\u306b NMF \u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30c7\u30fc\u30bf\u304c\u904e\u5270\u9069\u5408\u3059\u308b\u30ea\u30b9\u30af\u304c\u3042\u308a\u307e\u3059\u3002\u6b63\u898f\u5316\u3084\u30af\u30ed\u30b9\u691c\u8a3c\u306a\u3069\u306e\u624b\u6cd5\u306f\u3001\u904e\u5270\u9069\u5408\u3092\u9632\u3050\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30c7\u30fc\u30bf\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0:<\/strong> NMF \u306f\u5165\u529b\u30c7\u30fc\u30bf\u306e\u30b9\u30b1\u30fc\u30eb\u306b\u654f\u611f\u3067\u3059\u3002NMF \u3092\u9069\u7528\u3059\u308b\u524d\u306b\u30c7\u30fc\u30bf\u3092\u9069\u5207\u306b\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3059\u308b\u3068\u3001\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6b20\u843d\u30c7\u30fc\u30bf:<\/strong> NMF \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u6b20\u640d\u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3057\u307e\u3059\u304c\u3001\u6b20\u640d\u5024\u304c\u591a\u3059\u304e\u308b\u3068\u56e0\u6570\u5206\u89e3\u304c\u4e0d\u6b63\u78ba\u306b\u306a\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u88dc\u5b8c\u6280\u8853\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b20\u640d\u30c7\u30fc\u30bf\u3092\u52b9\u679c\u7684\u306b\u51e6\u7406\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u4e3b\u306a\u7279\u5fb4\u3084\u305d\u306e\u4ed6\u306e\u985e\u4f3c\u7528\u8a9e\u3068\u306e\u6bd4\u8f03\u3092\u8868\u3084\u30ea\u30b9\u30c8\u306e\u5f62\u5f0f\u3067\u793a\u3057\u307e\u3059\u3002<\/h2>\n<p>\u4ee5\u4e0b\u306f\u3001\u975e\u8ca0\u5024\u884c\u5217\u56e0\u6570\u5206\u89e3\u3068\u4ed6\u306e\u540c\u69d8\u306e\u624b\u6cd5\u306e\u6bd4\u8f03\u8868\u3067\u3059\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th>\u6280\u8853<\/th>\n<th>\u975e\u8ca0\u6027\u5236\u7d04<\/th>\n<th>\u89e3\u91c8\u53ef\u80fd\u6027<\/th>\n<th>\u30b9\u30d1\u30fc\u30b7\u30c6\u30a3<\/th>\n<th>\u6b20\u640d\u30c7\u30fc\u30bf\u306e\u51e6\u7406<\/th>\n<th>\u7dda\u5f62\u6027\u306e\u4eee\u5b9a<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF)<\/td>\n<td>\u306f\u3044<\/td>\n<td>\u9ad8\u3044<\/td>\n<td>\u30aa\u30d7\u30b7\u30e7\u30f3<\/td>\n<td>\u306f\u3044<\/td>\n<td>\u7dda\u5f62<\/td>\n<\/tr>\n<tr>\n<td>\u4e3b\u6210\u5206\u5206\u6790 (PCA)<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u4f4e\u3044<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u7dda\u5f62<\/td>\n<\/tr>\n<tr>\n<td>\u72ec\u7acb\u6210\u5206\u5206\u6790 (ICA)<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u4f4e\u3044<\/td>\n<td>\u30aa\u30d7\u30b7\u30e7\u30f3<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u7dda\u5f62<\/td>\n<\/tr>\n<tr>\n<td>\u6f5c\u5728\u30c7\u30a3\u30ea\u30af\u30ec\u5206\u5e03 (LDA)<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u9ad8\u3044<\/td>\n<td>\u307e\u3070\u3089<\/td>\n<td>\u3044\u3044\u3048<\/td>\n<td>\u7dda\u5f62<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>\n<p><strong>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF):<\/strong> NMF \u306f\u57fa\u5e95\u884c\u5217\u3068\u4fc2\u6570\u884c\u5217\u306b\u975e\u8ca0\u5236\u7d04\u3092\u9069\u7528\u3057\u3001\u90e8\u5206\u30d9\u30fc\u30b9\u3067\u89e3\u91c8\u53ef\u80fd\u306a\u30c7\u30fc\u30bf\u8868\u73fe\u3092\u5b9f\u73fe\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u4e3b\u6210\u5206\u5206\u6790\uff08PCA\uff09\uff1a<\/strong> PCA \u306f\u5206\u6563\u3092\u6700\u5927\u5316\u3057\u3001\u76f4\u4ea4\u6210\u5206\u3092\u63d0\u4f9b\u3059\u308b\u7dda\u5f62\u624b\u6cd5\u3067\u3059\u304c\u3001\u89e3\u91c8\u53ef\u80fd\u6027\u3092\u4fdd\u8a3c\u3059\u308b\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u72ec\u7acb\u6210\u5206\u5206\u6790\uff08ICA\uff09\uff1a<\/strong> ICA \u306f\u3001\u7d71\u8a08\u7684\u306b\u72ec\u7acb\u3057\u305f\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001PCA \u3088\u308a\u3082\u89e3\u91c8\u3057\u3084\u3059\u3044\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u30b9\u30d1\u30fc\u30b9\u6027\u306f\u4fdd\u8a3c\u3055\u308c\u307e\u305b\u3093\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6f5c\u5728\u30c7\u30a3\u30ea\u30af\u30ec\u914d\u5206 (LDA):<\/strong> LDA \u306f\u3001\u30c6\u30ad\u30b9\u30c8 \u30c7\u30fc\u30bf\u306e\u30c8\u30d4\u30c3\u30af \u30e2\u30c7\u30ea\u30f3\u30b0\u306b\u4f7f\u7528\u3055\u308c\u308b\u78ba\u7387\u30e2\u30c7\u30eb\u3067\u3059\u3002\u3053\u308c\u306f\u30b9\u30d1\u30fc\u30b9\u8868\u73fe\u3092\u63d0\u4f9b\u3057\u307e\u3059\u304c\u3001\u975e\u8ca0\u6027\u5236\u7d04\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<\/li>\n<\/ul>\n<h2>\u975e\u8ca0\u884c\u5217\u5206\u89e3 (NMF) \u306b\u95a2\u9023\u3059\u308b\u5c06\u6765\u306e\u5c55\u671b\u3068\u30c6\u30af\u30ce\u30ed\u30b8\u30fc\u3002<\/h2>\n<p>\u975e\u8ca0\u884c\u5217\u56e0\u5b50\u5206\u89e3\u306f\u3001\u7814\u7a76\u958b\u767a\u304c\u6d3b\u767a\u306b\u884c\u308f\u308c\u3066\u3044\u308b\u5206\u91ce\u3067\u3059\u3002NMF \u306b\u95a2\u9023\u3059\u308b\u3044\u304f\u3064\u304b\u306e\u5c55\u671b\u3068\u5c06\u6765\u306e\u6280\u8853\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0\u306e\u7d71\u5408:<\/strong> NMF \u3092\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0 \u30a2\u30fc\u30ad\u30c6\u30af\u30c1\u30e3\u3068\u7d71\u5408\u3059\u308b\u3068\u3001\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0 \u30e2\u30c7\u30eb\u306e\u7279\u5fb4\u62bd\u51fa\u3068\u89e3\u91c8\u53ef\u80fd\u6027\u304c\u5411\u4e0a\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u5805\u7262\u304b\u3064\u30b9\u30b1\u30fc\u30e9\u30d6\u30eb\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0:<\/strong> \u73fe\u5728\u9032\u884c\u4e2d\u306e\u7814\u7a76\u306f\u3001\u5927\u898f\u6a21\u306a\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u52b9\u7387\u7684\u306b\u51e6\u7406\u3059\u308b\u305f\u3081\u306e\u5805\u7262\u3067\u30b9\u30b1\u30fc\u30e9\u30d6\u30eb\u306a NMF \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u958b\u767a\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3:<\/strong> \u533b\u7642\u7528\u753b\u50cf\u51e6\u7406\u3001\u6c17\u5019\u30e2\u30c7\u30ea\u30f3\u30b0\u3001\u30bd\u30fc\u30b7\u30e3\u30eb \u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306a\u3069\u306e\u7279\u5b9a\u306e\u30c9\u30e1\u30a4\u30f3\u306b\u5408\u308f\u305b\u3066 NMF \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u30ab\u30b9\u30bf\u30de\u30a4\u30ba\u3059\u308b\u3068\u3001\u65b0\u305f\u306a\u6d1e\u5bdf\u3084\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u5b9f\u73fe\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u30a2\u30af\u30bb\u30e9\u30ec\u30fc\u30b7\u30e7\u30f3\uff1a<\/strong> \u7279\u6b8a\u306a\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2 (GPU \u3084 TPU \u306a\u3069) \u306e\u9032\u6b69\u306b\u3088\u308a\u3001NMF \u306e\u8a08\u7b97\u304c\u5927\u5e45\u306b\u9ad8\u901f\u5316\u3055\u308c\u3001\u30ea\u30a2\u30eb\u30bf\u30a4\u30e0 \u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30aa\u30f3\u30e9\u30a4\u30f3\u304a\u3088\u3073\u6bb5\u968e\u7684\u306a\u5b66\u7fd2:<\/strong> \u30aa\u30f3\u30e9\u30a4\u30f3\u304a\u3088\u3073\u5897\u5206 NMF \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7814\u7a76\u306b\u3088\u308a\u3001\u7d99\u7d9a\u7684\u306a\u5b66\u7fd2\u3068\u52d5\u7684\u306a\u30c7\u30fc\u30bf \u30b9\u30c8\u30ea\u30fc\u30e0\u3078\u306e\u9069\u5fdc\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3001\u307e\u305f\u306f Non-negative Matrix Factorization (NMF) \u306b\u95a2\u9023\u4ed8\u3051\u308b\u65b9\u6cd5\u3002<\/h2>\n<p>\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u3001\u30af\u30e9\u30a4\u30a2\u30f3\u30c8\u3068\u30b5\u30fc\u30d0\u30fc\u9593\u306e\u4ef2\u4ecb\u5f79\u3068\u3057\u3066\u3001\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u901a\u4fe1\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002NMF \u306f\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3068\u76f4\u63a5\u95a2\u9023\u3057\u3066\u3044\u307e\u305b\u3093\u304c\u3001\u6b21\u306e\u4f7f\u7528\u4f8b\u304b\u3089\u9593\u63a5\u7684\u306b\u30e1\u30ea\u30c3\u30c8\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<ol>\n<li>\n<p><strong>\u30a6\u30a7\u30d6\u30ad\u30e3\u30c3\u30b7\u30e5:<\/strong> \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f Web \u30ad\u30e3\u30c3\u30b7\u30e5\u3092\u4f7f\u7528\u3057\u3066\u3001\u983b\u7e41\u306b\u30a2\u30af\u30bb\u30b9\u3055\u308c\u308b\u30b3\u30f3\u30c6\u30f3\u30c4\u3092\u30ed\u30fc\u30ab\u30eb\u306b\u4fdd\u5b58\u3057\u307e\u3059\u3002 NMF \u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30ad\u30e3\u30c3\u30b7\u30e5\u306b\u6700\u3082\u95a2\u9023\u6027\u304c\u9ad8\u304f\u6709\u76ca\u306a\u30b3\u30f3\u30c6\u30f3\u30c4\u3092\u7279\u5b9a\u3067\u304d\u3001\u30ad\u30e3\u30c3\u30b7\u30e5 \u30e1\u30ab\u30cb\u30ba\u30e0\u306e\u52b9\u7387\u304c\u5411\u4e0a\u3057\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30e6\u30fc\u30b6\u30fc\u884c\u52d5\u5206\u6790:<\/strong> \u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u3001Web \u30ea\u30af\u30a8\u30b9\u30c8\u3084\u95b2\u89a7\u30d1\u30bf\u30fc\u30f3\u306a\u3069\u306e\u30e6\u30fc\u30b6\u30fc\u884c\u52d5\u30c7\u30fc\u30bf\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001NMF \u3092\u4f7f\u7528\u3057\u3066\u3053\u306e\u30c7\u30fc\u30bf\u304b\u3089\u6f5c\u5728\u7684\u306a\u7279\u5fb4\u3092\u62bd\u51fa\u3057\u3001\u30e6\u30fc\u30b6\u30fc \u30d7\u30ed\u30d5\u30a1\u30a4\u30ea\u30f3\u30b0\u3084\u30bf\u30fc\u30b2\u30c3\u30c8\u3092\u7d5e\u3063\u305f\u30b3\u30f3\u30c6\u30f3\u30c4\u914d\u4fe1\u306b\u5f79\u7acb\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u7570\u5e38\u691c\u51fa:<\/strong> NMF \u306f\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u3092\u901a\u904e\u3059\u308b\u30c8\u30e9\u30d5\u30a3\u30c3\u30af \u30d1\u30bf\u30fc\u30f3\u306e\u5206\u6790\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002\u7570\u5e38\u306a\u30d1\u30bf\u30fc\u30f3\u3092\u8b58\u5225\u3059\u308b\u3053\u3068\u3067\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306f\u30cd\u30c3\u30c8\u30ef\u30fc\u30af \u30a2\u30af\u30c6\u30a3\u30d3\u30c6\u30a3\u306b\u304a\u3051\u308b\u6f5c\u5728\u7684\u306a\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u306e\u8105\u5a01\u3084\u7570\u5e38\u3092\u691c\u51fa\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3068\u5206\u985e:<\/strong> NMF \u306f\u3001\u30d7\u30ed\u30ad\u30b7 \u30b5\u30fc\u30d0\u30fc\u306b\u3088\u308b\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u30d5\u30a3\u30eb\u30bf\u30ea\u30f3\u30b0\u3068\u5206\u985e\u3092\u652f\u63f4\u3057\u3001\u305d\u306e\u6a5f\u80fd\u3068\u30d1\u30bf\u30fc\u30f3\u306b\u57fa\u3065\u3044\u3066\u7279\u5b9a\u306e\u7a2e\u985e\u306e\u30b3\u30f3\u30c6\u30f3\u30c4\u3092\u30d6\u30ed\u30c3\u30af\u307e\u305f\u306f\u8a31\u53ef\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n<\/li>\n<\/ol>\n<h2>\u95a2\u9023\u30ea\u30f3\u30af<\/h2>\n<p>\u975e\u8ca0\u5024\u884c\u5217\u56e0\u5b50\u5206\u89e3 (NMF) \u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u6b21\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<ol>\n<li>\n<p><a href=\"https:\/\/www.nature.com\/articles\/44565\" target=\"_new\" rel=\"noopener nofollow\">\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u306b\u3088\u308b\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u90e8\u5206\u306e\u5b66\u7fd2 \u2013 Daniel D. Lee \u304a\u3088\u3073 H. Sebastian Seung<\/a><\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Non-negative_matrix_factorization\" target=\"_new\" rel=\"noopener nofollow\">\u975e\u8ca0\u884c\u5217\u5206\u89e3 \u2013 Wikipedia<\/a><\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/www.datacamp.com\/community\/tutorials\/tutorial-nmf-python\" target=\"_new\" rel=\"noopener nofollow\">\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u306e\u6982\u8981: \u5305\u62ec\u7684\u306a\u30ac\u30a4\u30c9 \u2013 Datacamp<\/a><\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/towardsdatascience.com\/nmf-unsupervised-feature-extraction-e1582b4e5afe\" target=\"_new\" rel=\"noopener nofollow\">\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3: \u6570\u5b66\u3068\u305d\u306e\u4ed5\u7d44\u307f\u3092\u7406\u89e3\u3059\u308b \u2013 \u4e2d<\/a><\/p>\n<\/li>\n<li>\n<p><a href=\"https:\/\/arxiv.org\/abs\/2002.01460\" target=\"_new\" rel=\"noopener nofollow\">\u753b\u50cf\u30a8\u30f3\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u306e\u305f\u3081\u306e\u975e\u8ca0\u884c\u5217\u56e0\u6570\u5206\u89e3\u3092\u4f7f\u7528\u3057\u305f\u30c7\u30a3\u30fc\u30d7\u30e9\u30fc\u30cb\u30f3\u30b0 \u2013 arXiv<\/a><\/p>\n<\/li>\n<\/ol>","protected":false},"featured_media":469015,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-478216","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Non-negative Matrix Factorization (NMF)<\/mark>","faq_items":[{"question":"What is Non-negative Matrix Factorization (NMF)?","answer":"<p>Non-negative Matrix Factorization (NMF) is a powerful mathematical technique used for data analysis, feature extraction, and dimensionality reduction. It decomposes a non-negative data matrix into two or more non-negative matrices, providing interpretable results with additive components.<\/p>"},{"question":"How does Non-negative Matrix Factorization (NMF) work?","answer":"<p>NMF approximates a non-negative data matrix (V) by finding two non-negative matrices (W and H) such that V \u2248 WH. The basis matrix (W) represents meaningful features, and the coefficient matrix (H) indicates their relevance in each data sample.<\/p>"},{"question":"What are the key features of Non-negative Matrix Factorization (NMF)?","answer":"<p>The key features of NMF include the non-negativity constraint, parts-based representation, dimensionality reduction, interpretability, robustness to missing data, and flexibility in optimization techniques.<\/p>"},{"question":"What types of Non-negative Matrix Factorization (NMF) exist?","answer":"<p>There are various types of NMF, such as classic NMF, sparse NMF, robust NMF, hierarchical NMF, kernel NMF, and supervised NMF, each tailored for specific applications and constraints.<\/p>"},{"question":"How can Non-negative Matrix Factorization (NMF) be used?","answer":"<p>NMF finds applications in image processing, text mining, bioinformatics, audio signal processing, recommendation systems, and more. It aids in tasks like image compression, topic modeling, gene expression analysis, and source separation.<\/p>"},{"question":"What are the challenges and solutions related to Non-negative Matrix Factorization (NMF)?","answer":"<p>Challenges in NMF include initialization sensitivity, divergence issues, overfitting, data scaling, and handling missing data. These can be addressed by using appropriate initialization strategies, update rules, regularization, and imputation techniques.<\/p>"},{"question":"How does Non-negative Matrix Factorization (NMF) compare to other techniques?","answer":"<p>NMF stands out with its non-negativity constraint, interpretability, and sparsity control. In comparison, techniques like PCA, ICA, and LDA may offer orthogonal components, independence, or topic modeling but lack certain features of NMF.<\/p>"},{"question":"What are the future perspectives of Non-negative Matrix Factorization (NMF)?","answer":"<p>The future of NMF includes integrations with deep learning, development of robust and scalable algorithms, domain-specific applications, hardware acceleration, and advancements in online and incremental learning techniques.<\/p>"},{"question":"How can proxy servers be associated with Non-negative Matrix Factorization (NMF)?","answer":"<p>While not directly linked, proxy servers can benefit from NMF in web caching, user behavior analysis, anomaly detection, content filtering, and classification, leading to more efficient and secure internet communication.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/478216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/wiki\/478216\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media\/469015"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/jp\/wp-json\/wp\/v2\/media?parent=478216"}],"curies":[{"name":"\u3046\u30fc\u3093","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}